General sum-connectivity index of a graph and its line graph

Xiaohong Chen

Applied Mathematics and Computation, 2023, vol. 443, issue C

Abstract: For a real number β, the general sum-connectivity index χβ(G) of a graph G is defined as ∑xy∈E(G)(d(x)+d(y))β, where d(x) denote the degree of a vertex x in G. In this paper, we show that for every graph G≇Pn, if β≥0, then

Keywords: Line graph; Topological index; General sum-connectivity index; Sum-connectivity index (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008475

DOI: 10.1016/j.amc.2022.127779

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